For example, it was suggested by an anonymous referee for the previous paper [1]} that we consider the model on \(G=SU(d), SL_d(\mathbb {C}), SL_d(\mathbb {R})\)  given by
\(\dot{X}_i X_i^{-1}=H_i+\frac{\kappa }{2N}\sum _{j=1}^N\left(X_jX_i^{-1}-X_iX_j^{-1}-\frac{1}{d} \mathrm {Tr}[X_jX_i^{-1}]I_d+\frac{1}{d} \mathrm {Tr}[X_iX_j^{-1}]I_d\right).\) 
